100111131121 has 8 divisors (see below), whose sum is σ = 100953575424. Its totient is φ = 99269533440.

The previous prime is 100111131091. The next prime is 100111131193. The reversal of 100111131121 is 121131111001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100111131121 - 2¹³ = 100111122929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111131821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26961 + ... + 448273.

It is an arithmetic number, because the mean of its divisors is an integer number (12619196928).

Almost surely, 2^100111131121 is an apocalyptic number.

It is an amenable number.

100111131121 is a deficient number, since it is larger than the sum of its proper divisors (842444303).

100111131121 is a wasteful number, since it uses less digits than its factorization.

100111131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423311.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 100111131121 its reverse (121131111001), we get a palindrome (221242242122).

The spelling of 100111131121 in words is "one hundred billion, one hundred eleven million, one hundred thirty-one thousand, one hundred twenty-one".